拟线性奇异摄动问题的无重叠区域分解算法  

Non Overlapping Domain Decomposition Algorithm for Quasi-linear Singular Perturbation Problems

作　　者：李风军[1] 陆桂琴[1] 

机构地区：[1]宁夏大学数学计算机学院,宁夏银川750021

出　　处：《宁夏大学学报（自然科学版）》2014年第4期289-293,共5页Journal of Ningxia University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(61063020;11261042)

摘　　要：利用有限无重叠区域分解算法处理拟线性奇异摄动问题.将计算区域剖分为不重叠小区间,通过估计边界值在非重叠的小区域上进行计算.利用Shishkin型的分片等距网格,无论在边界的内部还是外部,都可以把计算区域分解为一些小区域,使其具有并行性.该特性对于在并行计算机上执行迭代算法是非常重要的.Finite non overlapping domain decomposition method is employed to handle a quasi-linear singular perturbation problem.The computational region is divided into non overlapping cells,and the calculation in non overlap area is carried out by estimating the boundary value.By using piecewise equidistant Shishkin mesh,whether at the boundary of the internal or external,the calculation domain can be divided into some small regions,which has the characteristics of parallelism.It is very important for the implementation of the iterative algorithm on a parallel computer.

关 键 词：拟线性 奇异摄动 SHISHKIN网格 算法 

分 类 号：O175.1[理学—数学]